38106428928000 has 208 divisors, whose sum is σ = 126802719846816. Its totient is φ = 10161713971200.

The previous prime is 38106428927939. The next prime is 38106428928019. The reversal of 38106428928000 is 82982460183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10868437 + ... + 13940436.

It is an arithmetic number, because the mean of its divisors is an integer number (609628460802).

Almost surely, 2^{38106428928000} is an apocalyptic number.

38106428928000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38106428928000 is an abundant number, since it is smaller than the sum of its proper divisors (88696290918816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38106428928000 is an equidigital number, since it uses as much as digits as its factorization.

38106428928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24808915 (or 24808883 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 38106428928000 in words is "thirty-eight trillion, one hundred six billion, four hundred twenty-eight million, nine hundred twenty-eight thousand".